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0470534923 Premium Publisher Direct Books are Like New or Brand New books direct from the publisher sometimes at a discount. Multiple copies are usually available. These books ...are not available for expedited shipping and may take up to 14 business days to receive.Read moreShow Less

This textbook has been in constant use since 1980, and this editionrepresents the first major revision of this text since the secondedition. It was time to select, make hard choices of material,polish, refine, and fill in where needed. Much has been rewrittento be even cleaner and clearer, new features have been introduced,and some peripheral topics have been removed.

The authors continue to provide real-world, technicalapplications that promote intuitive reader learning. Numerousfully worked examples and boxed and numbered formulas give studentsthe essential practice they need to learn mathematics. Computerprojects are given when appropriate, including BASIC, spreadsheets,computer algebra systems, and computer-assisted drafting. Thegraphing calculator has been fully integrated and calculatorscreens are given to introduce computations. Everything thetechnical student may need is included, with the emphasis always onclarity and practical applications.

Paul Calter is Professor Emeritus of Mathematics at Vermont Technical College and Visiting Scholar at Dartmouth College. A graduate of The Cooper Union, New York, he received his M.S. from Columbia University and a MFA from Norwich University. Professor Calter has taught technical mathematics for over twenty-five years. He is a member of the American Mathematical Association of Two Year Colleges, the Mathematical Association of America, the National Council of Teachers of Mathematics, the College Art Association, and the Author's Guild.

Calter is involved in the Mathematics Across the Curriculum movement, and has developed and taught a course called Geometry in Art and Architecture at Dartmouth College under an NSF grant.

Professor Calter is the author of several other mathematics textbooks, among which are the Schaum's Outline of Technical Mathematics, Problem Solving with Computers, Practical Math Handbook for the Building Trades, Practical Math for Electricity and Electronics, Mathematics for Computer Technology, Introductory Algebra and Trigonometry, Technical Calculus, and Squaring the Circle: Geometry in Art and Architecture.

Michael Calter is Associate Professor at Wesleyan University. He received his B.S. from the University of Vermont. After receiving his Ph.D. from Harvard University, he completed a post-doctoral fellowship at the University of California at Irvine. Michael has been working on his father's mathematics texts since 1983, when he completed a set of programs to accompany Technical Mathematics with Calculus. Since that time, he has become progressively more involved with his father's writing endeavors, culminating with becoming co-author on the second edition of Technical Calculus and the fourth edition of Technical Mathematics with Calculus. Michael also enjoys the applications of mathematical techniques to chemical and physical problems as part of his academic research. Michael is a member of the American Mathematical Association of Two Year Colleges, the American Association for the Advancement of Science, and the American Chemical Society.

Michael and Paul enjoy hiking and camping trips together. These have included an expedition up Mt. Washington in January, a hike across Vermont, a walk across England on Hadrian's Wall, and many sketching trips into the mountains.

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## More About This Textbook

## Overview

This textbook has been in constant use since 1980, and this editionrepresents the first major revision of this text since the secondedition. It was time to select, make hard choices of material,polish, refine, and fill in where needed. Much has been rewrittento be even cleaner and clearer, new features have been introduced,and some peripheral topics have been removed.

The authors continue to provide real-world, technicalapplications that promote intuitive reader learning. Numerousfully worked examples and boxed and numbered formulas give studentsthe essential practice they need to learn mathematics. Computerprojects are given when appropriate, including BASIC, spreadsheets,computer algebra systems, and computer-assisted drafting. Thegraphing calculator has been fully integrated and calculatorscreens are given to introduce computations. Everything thetechnical student may need is included, with the emphasis always onclarity and practical applications.

## Product Details

## Related Subjects

## Meet the Author

Paul Calteris Professor Emeritus of Mathematics at Vermont Technical College and Visiting Scholar at Dartmouth College. A graduate of The Cooper Union, New York, he received his M.S. from Columbia University and a MFA from Norwich University. Professor Calter has taught technical mathematics for over twenty-five years. He is a member of the American Mathematical Association of Two Year Colleges, the Mathematical Association of America, the National Council of Teachers of Mathematics, the College Art Association, and the Author's Guild.Calter is involved in the Mathematics Across the Curriculum movement, and has developed and taught a course called Geometry in Art and Architecture at Dartmouth College under an NSF grant.

Professor Calter is the author of several other mathematics textbooks, among which are the Schaum's Outline of Technical Mathematics, Problem Solving with Computers, Practical Math Handbook for the Building Trades, Practical Math for Electricity and Electronics, Mathematics for Computer Technology, Introductory Algebra and Trigonometry, Technical Calculus, and Squaring the Circle: Geometry in Art and Architecture.

Michael Calteris Associate Professor at Wesleyan University. He received his B.S. from the University of Vermont. After receiving his Ph.D. from Harvard University, he completed a post-doctoral fellowship at the University of California at Irvine. Michael has been working on his father's mathematics texts since 1983, when he completed a set of programs to accompany Technical Mathematics with Calculus. Since that time, he has become progressively more involved with his father's writing endeavors, culminating with becoming co-author on the second edition of Technical Calculus and the fourth edition of Technical Mathematics with Calculus. Michael also enjoys the applications of mathematical techniques to chemical and physical problems as part of his academic research. Michael is a member of the American Mathematical Association of Two Year Colleges, the American Association for the Advancement of Science, and the American Chemical Society.Michael and Paul enjoy hiking and camping trips together. These have included an expedition up Mt. Washington in January, a hike across Vermont, a walk across England on Hadrian's Wall, and many sketching trips into the mountains.

## Table of Contents

1Review of Numerical Computation 11â€“1The Real Numbers 21â€“2Addition and Subtraction 91â€“3Multiplication 151â€“4Division 191â€“5Powers and Roots 231â€“6Combined Operations 291â€“7Scientific Notation and Engineering Notation321â€“8Units of Measurement 411â€“9Percentage 51Chapter 1 Review Problems 59

2Introduction to Algebra 622â€“1Algebraic Expressions 632â€“2Adding and Subtracting Polynomials 672â€“3Laws of Exponents 722â€“4Multiplying a Monomial by a Monomial 802â€“5Multiplying a Monomial and a Multinomial 832â€“6Multiplying a Binomial by a Binomial 862â€“7Multiplying a Multinomial by a Multinomial882â€“8Raising a Multinomial to a Power 902â€“9Dividing a Monomial by a Monomial 922â€“10Dividing a Polynomial by a Monomial 952â€“11Dividing a Polynomial by a Polynomial 98Chapter 2 Review Problems 101

3Simple Equations and Word Problems 1033â€“1Solving a Simple Equation 1043â€“2Solving Word Problems 1133â€“3Uniform Motion Applications 1183â€“4Money Problems 1213â€“5Applications Involving Mixtures 1233â€“6Statics Applications 1273â€“7Applications to Work, Fluid Flow, and EnergyFlow 129Chapter 3 Review Problems 133

4Functions 1364â€“1Functions and Relations 1374â€“2More on Functions 144Chapter 4 Review Problems 154

5Graphs 1565â€“1Rectangular Coordinates 1575â€“2Graphing an Equation 1615â€“3Graphing a Function by Calculator 1645â€“4The Straight Line 1675â€“5Solving an Equation Graphically 172Chapter 5 Review Problems 173

6 Geometry 1756â€“1Straight Lines and Angles 1766â€“2Triangles 1806â€“3Quadrilaterals 1876â€“4The Circle 1906â€“5Polyhedra 1966â€“6Cylinder, Cone, and Sphere 201Chapter 6 Review Problems 205

7Right Triangles and Vectors 2077â€“1The Trigonometric Functions 2087â€“2Solution of Right Triangles 2127â€“3Applications of the Right Triangle 2167â€“4Angles in Standard Position 2217â€“5Introduction to Vectors 2227â€“6Applications of Vectors 226Chapter 7 Review Problems 229

8Oblique Triangles and Vectors 2318â€“1Trigonometric Functions of Any Angle 2328â€“2Finding the Angle When the TrigonometricFunction Is Known 2368â€“3Law of Sines 2408â€“4Law of Cosines 2468â€“5Applications 2518â€“6Non-Perpendicular Vectors 255Chapter 8 Review Problems 260

9Systems of Linear Equations 2639â€“1Systems of Two Linear Equations 2649â€“2Applications 2709â€“3Other Systems of Equations 2799â€“4Systems of Three Equations 284Chapter 9 Review Problems 290

10Matrices and Determinants 29210â€“1Introduction to Matrices 29310â€“2Solving Systems of Equations by the UnitMatrix Method 29710â€“3Second-Order Determinants 30210â€“4Higher-Order Determinants 308Chapter 10 Review Problems 316

11Factoring and Fractions 31911â€“1Common Factors 32011â€“2Difference of Two Squares 32311â€“3Factoring Trinomials 32611â€“4Other Factorable Expressions 33311â€“5Simplifying Fractions 33511â€“6Multiplying and Dividing Fractions 34011â€“7Adding and Subtracting Fractions 34411â€“8Complex Fractions 34911â€“9Fractional Equations 35211â€“10Literal Equations and Formulas 355Chapter 11 Review Problems 360

12 Quadratic Equations 36312â€“1Solving a Quadratic Equation Graphically andby Calculator 36412â€“2Solving a Quadratic by Formula 36812â€“3Applications 372Chapter 12 Review Problems 377

13Exponents and Radicals 37913â€“1Integral Exponents 38013â€“2Simplification of Radicals 38513â€“3Operations with Radicals 39213â€“4Radical Equations 398Chapter 13 Review Problems 403

14Radian Measure, Arc Length, and Rotation40514â€“1Radian Measure 40614â€“2Arc Length 41314â€“3Uniform Circular Motion 416Chapter 14 Review Problems 420

15Trigonometric, Parametric, and Polar Graphs42215â€“1Graphing the Sine Wave by Calculator 42315â€“2Manual Graphing of the Sine Wave 43015â€“3The Sine Wave as a Function of Time 43515â€“4Graphs of the Other Trigonometric Functions44115â€“5Graphing a Parametric Equation 44815â€“6Graphing in Polar Coordinates 452Chapter 15 Review Problems 459

16Trigonometric Identities and Equations 46116â€“1Fundamental Identities 46216â€“2Sum or Difference of Two Angles 46916â€“3Functions of Double Angles and Half-Angles47416â€“4Evaluating a Trigonometric Expression 48116â€“5Solving a Trigonometric Equation 484Chapter 16 Review Problems 489

17Ratio, Proportion, and Variation 49117â€“1Ratio and Proportion 49217â€“2Similar Figures 49717â€“3Direct Variation 50117â€“4The Power Function 50517â€“5Inverse Variation 50917â€“6Functions of More Than One Variable 513Chapter 17 Review Problems 518

18Exponential and Logarithmic Functions 52118â€“1The Exponential Function 52218â€“2Logarithms 53218â€“3Properties of Logarithms 53918â€“4Solving an Exponential Equation 54718â€“5Solving a Logarithmic Equation 554Chapter 18 Review Problems 560

19 Complex Numbers 56219â€“1Complex Numbers in Rectangular Form 56319â€“2Complex Numbers in Polar Form 56819â€“3Complex Numbers on the Calculator 57219â€“4Vector Operations Using Complex Numbers57519â€“5Alternating Current Applications 578Chapter 19 Review Problems 584

20Sequences, Series, and the Binomial Theorem58620â€“1Sequences and Series 58720â€“2Arithmetic and Harmonic Progressions 59320â€“3Geometric Progressions 60020â€“4Infinite Geometric Progressions 60420â€“5The Binomial Theorem 607Chapter 20 Review Problems 614

21Introduction to Statistics and Probability61721â€“1Definitions and Terminology 61821â€“2Frequency Distributions 62221â€“3Numerical Description of Data 62821â€“4Introduction to Probability 63821â€“5The Normal Curve 64821â€“6Standard Errors 65421â€“7Process Control 66121â€“8Regression 669Chapter 21 Review Problems 674

22Analytic Geometry 67922â€“1The Straight Line 68022â€“2Equation of a Straight Line 68722â€“3The Circle 69422â€“4The Parabola 70222â€“5The Ellipse 71322â€“6The Hyperbola 725Chapter 22 Review Problems 733

Appendices

ASummary of Facts and Formulas A-0BConversion Factors A-0CTable of Integrals A-0IndexesApplications Index I-0

Index to Writing Questions I-0

Index to Projects I-0

General Index I-0